Question

6
a department store is having a year - end clearance where all items are marked down by 20%. a customer uses a rewards member coupon for an additional 25% off the clearance price. what percent of the original price does the customer pay for an item?
a 40%
b 45%
c 55%
d 60%

Explanation:

Step1: Assume original price is \( P \)

Let the original price of the item be \( P \).

Step2: Calculate clearance price

After a 20% markdown, the clearance price is \( P - 0.20P = 0.80P \) (since 100% - 20% = 80% or 0.80 of the original price).

Step3: Calculate price after coupon

Then, using the 25% off coupon on the clearance price, the customer pays \( 0.80P - 0.25\times(0.80P) \). First, calculate \( 0.25\times0.80P = 0.20P \). Then, \( 0.80P - 0.20P = 0.60P \).

Answer:

D 60%